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Finding the Third Proportional to 293,658 and 633,972

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Solution

The third proportional to 293,658 and 633,972 is: 1,368,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,658 : 633,972 = 633,972 : x
  2. Step 2: Convert to fraction form
    293,658/633,972 = 633,972/x
  3. Step 3: Cross multiply
    293,658x = 633,972 × 633,972
  4. Step 4: Simplify right side
    293,658x = 401,920,496,784
  5. Step 5: Solve for x
    x = 401,920,496,784/293,658
  6. Step 6: Final answer
    x = 1,368,668.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.